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Reflexive Relation

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). If any one extra pair from (A\times A) is added to (R), what will the new relation be?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (R) and (S) are both reflexive relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}) and (S={(1,1),(2,2),(3,3),(2,3)}). What is correct about (R\cap S)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b) is even(}). (R) is reflexive because which statement is true?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn real numbers, (R={(a,b):|a-b|\le 0}). What is the correct conclusion about (R)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn the family of all subsets of (S={1,2,3}), (R) is defined by (XRY) when (X\subseteq Y). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn natural numbers, relation (R) is defined by ((a,b)\in R) when (a) divides (b). Which statement is correct for (R)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a \equiv b \pmod{2}}). Reflexivity of (R) is based on which fact?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn integers, (R={(a,b):a-b) is divisible by (3)(}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsOn (A={1,2,3}), (R={(a,b):a\le b}). Why does (R) satisfy reflexivity?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsLet (A={a,b,c,d}) and (R={(a,a),(c,c),(a,b),(d,c)}). (R) is not reflexive because which self-pairs are missing?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf a set (A) has 4 elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (A={1,2,3}), how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsLet A = {1, 2, 3} and R = {(a, b) : a divides b}. Is R reflexive on A?Class 12Relations and FunctionsReflexive relationLevel 9Easy MathematicsFor a reflexive relation on an n-element set A, how many ordered pairs are necessarily present before any optional pairs are added?Class 12Relations and FunctionsReflexive relationLevel 9Easy MathematicsOn A={1,2}, how many relations are not reflexive?Class 12Relations and FunctionsReflexive relationLevel 9Easy MathematicsOn (A={1,2,3}), (R) is reflexive and (S) contains all pairs of (R). If (S) is also a relation on (A), what can be said about (S)?Class 12Relations and FunctionsReflexive relationLevel 8Easy MathematicsIn a reflexive relation (R) on (A={1,2,3,4}), how many self-pairs will be there at minimum?Class 12Relations and FunctionsReflexive relationLevel 8Easy MathematicsOn (A={1,2,3}), if one pair is added to (R={(1,1),(2,2),(3,3)}), which added pair will still keep (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Easy MathematicsIf (R) is reflexive and (A={4,5,6}), which statement is always true?Class 12Relations and FunctionsReflexive relationLevel 8Easy